package main

import (
	"fmt"
	"time"
)

func main() {
	input := []int{2, 19, 12, 2, 8 ,9 ,4, 6}
	// input := []int{2566,5469,1898,127,2441,4612,2554,5269,2785,5093,3931,2532,1195,1101,1334,2124,1156,3400,747,5046,3325,4039,1858,3655,4904,2255,1822,972,5175,2880,2776,4900,2172,3808,3441,4153,3969,3116,1913,5129,4839,4586,752,1804,1970,4052,5016,3781,5000,4331,2762,4886,826,1888,1175,2729,1610,1634,2773,543,2617,4990,3225,2962,4963,3575,3742,3424,3246,5067,133,2713,2667,4043,663,3442,1714,386,3864,1978,1363,27,630,4652,1537,1770,893,2676,2608,3842,4852,5248,832,1689,1033,3849,1471,3373,2764,2453,5272,1313,1005,5083,2191,4525,2706,915,5230,3833,5011,4531,2864,1581,3300,1367,4668,5104,1005,2842,2654,2108,5046,1398,5278,3665,2488,4944,3173,2897,4970,2618,749,248,2707,4509,4603,2647,2957,2157,2997,829,2689,3513,3033,5177,3201,5463,369,2779,906,4386,3631,4773,3718,2782,2240,3210,5158,2737,4020,3453,3208,1344,4100,1183,704,3205,2798,3386,1970,4734,3055,2182,990,5189,2419,1860,3998,972,1687,441,2217,2254,4634,2791,2487,98,5358,4433,4023,4328,3953,2461,974,731,869,5382,3699,1748,3629,723,962,600,2736,1413,3146,2955,2386,4834,4467,2814,2822,5137,3101,111,1059,2144,2664,287,4904,1612,4336,1301,3691,1391,717,127,1128,2624,449,2349,2759,1592,369,2359,5064,4392,1137,1682,987,4092,1283,4272,846,4355,1495,1828,2190,1813,4226,3995,2809,1111,3692,5481,1538,509,3008,4781,5259,501,2086,4545,5250,2524,4374,3539,3973,4357,2018,3894,3958,102,3179,5146,823,4168,528,893,1756,113,3042,3235,2954,482,2707,3309,1038,3280,4185,559,4648,4346,192,3214,1263,3062,85,523,141,2822,5218,3192,5426,793,623,2340,3312,2513,5439,4042,5203,4931,2179,626,4858,115,1932,3298,3070,3043,888,918,5227,1828,843,4764,2843,645,4774,1946,3343,3061,5241,4715,4966,1423,3503,5365,3183,1824,624,2389,2860,5025,5102,3,3950,5321,4704,275,1581,3687,3342,4982,2391,2758,3092,4966,444,642,2481,4993,2493,1715,4007,2121,3267,3607,1372,1081,3215,1691,1625,406,2118,4982,3175,1821,5135,3722,3656,4059,189,5024,4553,527,4028,2012,1560,2609,2652,3384,1935,1590,5390,3622,3973,1892,2971,492,3960,3581,981,4313,4958,4455,5517,1320,488,3982,2004,3458,2513,3434,1077,3196,2103,2920,2027,4303,2020,2595,3067,5479,5381,530,3920,354,232,1679,3416,3344,355,3836,844,4041,4597,2924,4956,3060,681,1483,2820,5263,366,1135,4424,3273,2087,4718,2649,4412,2720,2330,5435,1747,3968,765,881,1112,2376,5469,3402,3491,4200,1135,512,3592,3811,5446,3343,2604,1855,2826,4035,1887,4406,4933,937,4165,2984,5225,2975,4334,963,3233,3772,4446,1552,2329,1277,4094,5334,2000,2018,948,3872,64,4593,3832,3677,1789,1288,4783,5063,1610,898,3875,1457,4816,2617,2550,1144,4939,180,929,5200,3627,3382,2675,151,5394,5344,4684,4329,577,3694,2435,978,4904,3740,4165,2908,1358,5058,3176,1306,3786,2239,10,324,3317,4250,129,3402,2458,3282,3123,2956,2870,3835,2228,2417,1278,3039,2713,4504,484,1717,1462,3586,4586,2376,4402,2060,4131,2567,4876,1852,4513,2055,809,1927,3280,1805,127,1612,1663,419,651,671,3310,2649,4032,1297,2654,4814,661,1709,1625,4860,3208,4753,1263,4660,5104,4686,2520,392,2548,447,878,652,638,3727,2050,5091,1609,1467,1101,3699,2328,3672,2390,2510,3772,153,3962,2508,1012,4370,258,77,3115,5294,2659,2464,4636,3437,2683,4394,1943,3055,2544,3604,3624,5482,2178,3014,1537,690,5097,4336,1376,2733,3714,423,4959,3211,3449,486,2017,3823,3364,3894,394,2235,5008,2832,972,860,535,776,2724,1417,3746,5449,3025,1779,3561,4562,5230,5308,315,645,2163,3180,438,3181,316,5167,3119,1569,3057,4787,4545,2235,748,308,1544,1279,2538,2567,1775,3964,2497,3044,3260,4630,4309,4361,1038,5438,928,515,2724,1149,5015,5492,1803,3381,313,3874,1240,3378,625,1355,3619,172,234,3404,294,17,2353,747,1935,2747,4466,353,4491,4339,1110,2267,968,310,4077,4755,3833,3910,4234,5253,614,4917,2079,1684,175,4519,3039,1638,1298,1881,4848,1232,4199,28,1695,4249,1227,1880,5139,4869,1070,4633,3815,1966,1046,3156,3279,4811,2348,2346,2039,2028,2697,4052,1976,1378,4336,4655,689,5480,1673,2859,4334,5224,1884,3534,4250,2058,957,3493,3100,979,376,2776,514,4795,3349,2256,3998,2586,5437,589,1390,4131,2243,837,5507,1167,2084,457,2943,261,2616,1787,776,986,5161,1794,3249,505,1208,1402,1797,222,1605,4625,5433,3965,1637,4910,2120,3334,4539,1835,377,22,232,3037,1884,410,3774,4753,4450,3712,3317,1787,3440,4832,4886,2413,425,1835,2655,4756,70,544,3623,2859,5031,3617,3945,317,2808,3637,1449,1051,419,1848,4259,2300,3179,1066,4689,2055,472,1750,743,296,5381,1288,85,3609,1036,156,3082,2645,3103,3499,4260,3789,636,329,4476,5390,992,244,1329,2150,118,2863,4647,4483,2961,3316,1440,3402,922,2274,416,874,5154,3097,2766,3665,2401,3415,500,4999,435,836,5473,1525,5258,3279,1190,1014,929,5349,4033,506,573,1611,5142,386,3446,4749,5165,2740,4599,2576,4868,4756,5233,2677,3735,3327,3077,1844,778,2368,4991,673,1030,2931,1967,4355,2822,4897,2405,2009,645,650,3202,4827,2649,2254,1939,1474,4498,4652,1439,1080,670,4055,801,3870,563,4710,750,2141,3667,2529,3193,1530,3847,2202,5009,3720,4397,1767,5286,2111,4038,2595,3041,4343,2364,4602,3066,4453,4653,2711,5430,4101,3788,4312,4176,2129,4965,3733,2788,2017,3957,4811,1356,2618,3418,5304,1360,4425,4573,567,759,3128,5343,2441,381,1983,4420,5159,3230,2740,4529,2912,31,3676,4813,3070,2152,5110,5107,1392,879,4509,1796,3138,2132,314,2309,3230,235,3172,3441,914,2097,2684,3186,2524,2851,5094,2195,1304,4458,4993,1012,1849,2546,5278,82,513,1800,232,783,4470,4722,1983,3312,4710,2269,4249,3816,3908,4916,5393,2181,4056,3322,4031,760,2245,512,1260,3666,645,3096,580,4491,1741,2372,4714,5379,5390,2945,5271,5224,1088,2532,725,985,702,3600,199,3600,5356,4484,77,5197,587,1108,4988,4401,5364,3892,2768,3497,2367,2464,4241,4943,1397,4692,2700,1712,4002,4083,4888,4968,435,4366,2642,1677,3976,737,98,4911,5073,2764,5312,4003,2824,482,1181,5313,2473,4748,4968,4624,1313,2510,3412,5357,3482,4361,2854,3285,3996,340,4730,3919,406,4989,1555,4183,3425,4218,2179,152,5126,2807,1319,2764,981,3486,244,1548,5200,1756,99,1746,1170,3808,4734,1746,1746,3687,5331,5170,5364,1118,561,429,2318,1391,4168,4967,5519,2553,3536,1307,2409,169,4045,686,2012,1586,1321,3467,1894,3287,5489,599,2428,2950,4113,862,2271,2648,1816,3051,2190,338,1249,2963,1804,3812,3513,4298,2288,4807,3383,5283,4524,5421,777,772,2387,1378,533,2630,3941,592,2069,3556,870,1304,795,268,842,20,5523,4782,263,2668,389,2496,3641,168,3261,662,1880,2784,5519,4084,3486,1113,3072,4877,400,3094,208,3990,1216,561,2644,1773,377,997,4691,3305,1291,3908,5181,1327,4767,409,4780,1255,144,323,4159,5070,4061,4612,2126,109,5081,3146,301,4994,1369,4318,689,2276,353,3543,1185,4906,14,3745,5135,3579,1105,1633,4292,1494,4075,2207,1269,4566,189,3038,4808,1077,3397,2168,857,1480,4975,4461,2501,90,5521,1928,4909,900,3703,1618,1327,3017,2606,2710,4810,495,4810,4306,2610,5239,4396,2479,962,5141,4481,4976,3747,3930,949,5092,4973,887,233,4277,4189,3648,4845,3085,2891,4278,4679,4079,1357,4256,3454,2019,4212,1121,4847,4071,3370,4349,2677,1490,1276,29,65,2329,3372,4134,4260,1829,3104,1122,4821,4033,3645,4042,3367,1730,5093,2117,4352,4352,1580,4766,4796,1935,4823,1020,4184,2203,3263,2782,4414,1423,1251,4269,1950,1275,3377,3684,3748,3029,1495,2467,4768,3396,1003,4537,3163,2836,1965,1581,5077,1093,1606,4437,4410,4966,4230,2738,3993,141,1182,3559,1925,2532,785,813,1836,661,59,2029,3547,4946,282,2774,4971,1926,2425,2270,3539,4243,5113,3685,5168,2912,4751,2475,2782,4741,3185,2336,4813,812,5222,2588,4480,2225,2334,5287,1790,1799,510,1161,2647,952,2490,4916,1856,3805,2627,4356,1642,4268,63,3833,5258,5353,3380,4267,5237,3740,3924,3735,3201,1269,2638,2207,2477,275,2219,848,3045,877,4305,5017,3535,5367,1033,4363,252,5502,4698,878,584,4087,5255,1862,3755,4579,1096,1793,2855,3976,4822,2664,3006,3304,4390,4606,4416,3980,5037,4901,2855,1578,3552,845,4246,2804,5096,2442,3871,1919,1577,2916,2468,379,2410,3588,3556,4934,716,2072,2186,4220,4972,4485,1823,2779,1551,133,3466,2967,1275,3040,2763,4424,4372,1369,996,3315,5000,2520,591,4822,1019,4253,937,2994,2157,2503,2139,3081,1147,700,958,3838,1927,111,4257,4258,2493,5397,5486,1933,663,2997,693,3569,5170,5075,4874,4164,4514,3016,2598,3057,5421,3759,3248,1715,4081,1331,4635,2603,1342,295,3627,2508,3439,3044,5197,5270,1057,2894,5044,3782,3267,1137,693,3183,2142,4932,3385,2822,2015,3510,4728,3773,4665,3331,1502,4120,1198,113,3706,4567,3940,802,2732,1082,488,3739,2482,1144,480,4894,1330,4954,3228,3591,5266,3999,41,348,4287,3185,278,1554,2168,5492,109,1263,1015,3837,3580,825,792,5287,2135,4236,2448,4272,5290,4650,5030,5088,5260,5385,2717,1501,1860,1056,4810,5311,5027,3776,4340,2184,192,2311,4756,2859,1780,972,2755,3725,458,246,2721,2461,3673,4907,2855,2211,1398,98,141,3610,3901,3548,4725,4911,4759,567,1680,1613,1274,497,4439,5420,3290,5523,4047,3758,1050,1657,5232,3378,672,1692,4415,4397,63,1707,333,1742,3922,2527,5355,3773,175,4089,214,4343,3056,3240,5310,2367,5403,681,2469,2857,581,4333,1988,4028,2279,4634,5031,4283,640,195,3494,375,3509,5414,4557,369,1533,3839,4898,2851,1495,1770,2115,4263,4994,3923,3303,299,1984,4643,2301,4417,3093,272,2795,3980,873,2241,2653,1569,1509,67,2682,20,1213,1363,805,5351,3300,4177,3939,5034,4746,530,1298,2438,1840,2394,2274,2010,2172,3840,3598,5435,3507,4724,526,704,5494,2100,580,1443,3910,1948,1094,85,843,2229,4646,5466,2197,1829,3,3552,4211,2250,3043,4443,4895,5299,1809,1944,3695,4238,288,5457,2225,4690,701,4917,1860,2417,1452,3021,2988,4022,2734,2297,300,1015,1961,2196,4718,2434,3814,175,4319,5504,3689,2015,4220,151,5027,1861,841,939,4719,245,1792,3775,1116,3188,2944,4172,3689,2857,268,2190,1009,1556,4672,5090,5131,996,2192,5482,1337,5521,988,643,373,2248,3424,5134,129,2749,3237,1617,21,4650,5343,5358,835,5510,428,3720,2626,4093,3082,13,158,1683,3170,2549,4592,2701,3203,3499,1246,1504,4165,2757,2073,3231,151,3614,5460,2957,5101,4615,3564,4817,2301,1806,2247,3033,820,1070,3986,5436,3471,1067,408,3331,4501,4815,4192,2162,5398,1363,1021,2883,2845,3711,3851,3680,2380,2487,4919,3524,531,1726,5269,3366,2654,2068,68,1519,2936,4965,2958,3655,2924,3352,16,781,3572,2439,2497,2714,2002,5347,4630,354,2338,5044,1409,1014,1538,834,5284,1210,1786,4022,957,1020,1700,391,3913,1599,3327,1885,3030,2706,2227,298,3242,2081,5389,209,3346,4441,3933,15,2949,1285,3360,727,5013,1527,250,38,4888,2499,3030,400,4573,2257,1784,4046,1632,3162,3165,4835,5496,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48,3141,844,4801,3624,5144,3509,4232,5402,382,2052,4673,4026,1684,546,1963,5171,2772,2780,4345,3451,5226,2962,1374,1976,2353,1811,1046,4720,42,4431,733,3301,1818,2107,2510,2271,2310,4909,40,5396,3911,3371,602,5452,4331,2024,4018,1302,3062,284,251,3233,1772,722,37,2552,159,5113,5325,1286,5146,5342,4334,2191,1957,5005,1789,2649,677,1506,3969,2804,9,5342,5083,1535,3169,2052,2073,2922,852,2932,1916,5115,194,2739,120,5091,1922,1041,1594,4,1265,3406,2525,940,3209,3418,2547,3590,452,1019,4751,2334,3222,5193,1173,3663,1772,2930,3290,510,901,513,719,4612,5461,4650,2700,243,1456,1504,1020,1152,2996,5262,2144,1823,625,997,66,1962,3204,437,2370,719,4202,4581,1549,4650,869,2197,887,1921,1315,5387,817,2766,2947,340,3838,4815,4478,3685,3701,3657,3967,4959,2992,2213,644,4113,4645,3250,1312,3417,4448,2600,2973,10,5182,4930,258,1605,1204,2622,4258,4500,3936,5161,3169,1579,4327,861,2676,2686,3871,2403,3107,1937,3325,3877,4515,5123,4139,4128,1357,1412,650,2677,4683,2306,1387,135,5333,5188,3860,213,1893,5215,5482,599,3043,1720,3037,21,3388,4363,1335,1267,2125,3756,2308,758,937,1635,3517,3617,1141,2480,1282,2449,3122,3400,1673,2387,4336,2621,1186,627,2253,239,5507,5257,2684,5410,940,1376,401,2977,228,2599,227,5514,4353,1355,1647,5150,5162,4753,4261,1422,5505,2007,2512,233,4643,2984,3365,2358,2020,782,226,4765,2697,5474,147,4944,1278,5507,4802,1612,775,1723,4558,3296,4516,1497,2549,2305,2400,464,5268,3581,3646,4741,3577,783,2734,3625,5240,766,603,108,1053,4226,1625,2084,708,3366,4106,2405,2469,2194,1120,2883,2797,2813,1503,3900,4193,569,2354,1824,5081,3663,147,1103,5068,3152,503,4736,127,3039,2572,4252,4808,2548,5344,1856,2266,2301,4407,3042,823,5115,4065,97,5169,38,3155,2526,1192,5317,2850,2507,4669,3998,5249,1545,4575,4593,769,3527,1765,1614,2599,5459,3230,4969,1442,2459,3924,2745,2208,4565,1550,5000,3119,2984,3593,4990,4453,5387,5180,268,497,3109,742,1671,303,4496,3375,5167,3080,4114,3171,674,4345,470,772,5289,3717,5373,2112,1434,2762,1680,4902,4866,2637,858,2527,255,2396,3709,4189,4535,663,2721,3788,1290,1378,152,146,4691,2021,5120,1449,1037,5412,2606,175,358,2036,4545,2484,4050,934,2771,4147,1182,5152,5190,343,608,3758,3350,231,1400,3897,1504,1985,3280,4399,2484,1010,3235,1042,3711,645,5176,2809,2150,3483,2701,3128,345,3591,4831,1600,1815,5050,1357,404,5289,3373,4393,5432,2799,2591,3160,4064,633,2425,713,1176,4798,3907,4810,3577,2502,2651,3920,5261,4163,3827,3091,388,2715,3035,5457,2710,3968,4706,409,5380,3413,1197,2558,1905,3885,2193,1415,1484,751,2209,4073,4251,1477,1851,3537,3443,4856,1969,5455,142,3993,2228,443,1758,2796,4072,1745,3487,5040,2480,4457,1372,1996,2057,3534,404,926,1470,2072,4034,3157,759,4931,2759,2416,3263,4227,2467,2798,4999,2572,355,1850,884,636,2096,3725,1972,2725,827,4754,1752,403,3016,5346,634,784,2752,372,4724,4032,3433,442,4788,1711,4337,600,92,2192,2368,649,2005,1277,342,423,4361,4581,4922,748,5367,735,4195,4740,3761,2464,1728,3828,796,5003,5231,1369,1353,4519,2268,3876,5118,5368,3785,4453,1189,4920,32,1332,1917,5411,4661,2226,2819,5256,4183,4649,3596,1770,4680,1121,626,3947,4971,5243,4655,879,1354,3112,2999,5302,1711,333,2163,2686,1030,2196,4263,2024,244,1878,3282,600,247,2448,4614,255,5092,5284,4040,3294,1299,4023,1404,1356,2764,1756,2811,3129,5124,1726,1944,2573,3815,3699,75,442,4170,5474,4597,825,4841,1895,1980,1799,1371,4600,817,4639,1308,3411,5343,2121,4371,1523,3875,382,5518,2820,4779,187,1377,2448,1581,2101,1554,639,1038,2062,3765,2037,2421,275,537,3360,3836,2596,2111,4050,1225,1377,1487,820,1275,4596,42,5111,1544,2238,5434,704,2863,1367,29,452,525,424,3985,3376,1319,4796,5151,4510,1221,910,542,3546,125,122,5204,43,3536,5308,662,2742,1691,3731,3427,452,4646,5524,1473,1320,2900,1732,3132,3981,3831,238,1750,2761,2430,4523,4113,1099,3523,3051,403,4492,3991,1264,5381,4931,4786,790,2908,4328,4292,3464,4508,1289,1468,2721,1972,1744,434,2303,1857,4026,3811,2275,3163,5232,3634,4052,3886,3382,2553,154,419,1365,5385,881,2275,3112,3939,1292,23,2177,5325,4229,2350,622,2627,2703,888,2981,5173,2194,2443,4863,743,398,4995,1899,3798,2022,1925,4333,33,3775,2871,3596,2414,2190,872,2956,3480,1184,5432,4229,4258,4313,181,1341,4984,3575,960,4812,4246,1962,2900,4420,3853,4966,1899,5190,1395,2518,2727,1432,743,2511,2893,2774,4129,3250,4341,2632,356,2693,168,5450,5066,4146,3561,5261,2913,3054,2685,193,5368,4000,2094,4380,3572,1316,1883,3795,3970,4402,811,1380,3816,4201,491,1716,2503,4785,5086,2138,2669,2581,4818,5140,4091,1049,2254,4616,4870,5486,3805,3304,445,1298,4798,3736,1381,2139,271,4900,2499,1713,2512,3649,1584,1354,2677,2828,467,5401,2554,4352,293,2763,4017,3846,976,1431,4744,1831,3196,2470,500,696,1924,1639,4911,2342,3017,4655,846,3786,4448,3968,5463,736,1162,2813,2170,5079,3462,3737,398,882,2823,1731,813,4520,2921,3029,1142,5165,3654,2888,1474,4688,2658,3237,3466,2032,3182,857,2427,2849,3988,4973,2113,2776,2523,1391,1136,2333,2522,1924,1091,2205,4963,5432,5189,4710,3642,3985,4352,1794,1291,4458,607,5363,2285,3320,4400,4753,2789,3337,577,4583,3813,1135,327,4279,794,4710,305,2715,4878,312,4919,3865,5380,823,2709,2008,1627,5329,1569,5063,1388,5152,2731,5139,4465,1428,2017,1519,4759,2013,4558,1265,948,4677,208,1177,5196,1192,343,2552,4650,2969,3662,13,3077,1867,4432,170,843,1035,3474,2562,5156,4327,389,2208,5493,2541,972,153,3161,4275,4919,3694,5186,3432,3024,1328,1740,1071,3097,4031,3008,5420,1308,2133,1816,4735,4668,2061,4066,5466,1103,5504,2074,4747,1097,1123,3360,2680,2737,5252,3070,3265,2708,3773,2946,4839,2412,81,3806,120,784,5068,153,2421,4280,4957,3843,3094,4677,2562,1628,1033,2872,1031,2357,100,2078,2042,5391,3715,2534,4514,2504,4976,5047,2067,3440,207,2266,4861,3231,185,3764,4611,4992,1991,3109,2033,4978,4623,4223,5030,167,5197,557,430,5093,3333,2214,4012,1654,3770,388,3476,2571,361,5036,1089,2215,3554,3987,1279,4200,83,4180,5122,3037,4500,2007,4571,1185,4316,1005,3828,2025,4917,1582,3850,475,3306,1187,2279,1497,3395,3288,3976,1630,3768,4161,5247,3314,570,1856,1118,398,5142,3726,2035,3139,2161,2658,4352,1194,1087,2808,3527,386,2724,3075,1316,4002,1447,517,1650,4435,39,361,438,181,2739,2989,5224,4988,5448,2096,495,182,3793,812,4826,3022,4400,3255,807,2166,930,3577,3865,3413,4916,4989,3782,4045,2741,2670,3621,2981,3357,5220,75,1165,753,4892,1950,2645,1378,2359,2353,2108,4273,2806,2922,1432,4004,1787,4488,2762,740,4404,12,2986,4406,2321,4571,3542,2519,1758,1115,1915,2741,5287,3092,1010,5259,4958,2553,5166,28,2175,4671,152,5055,5180,1278,2336,3867,2707,4088,5043,1332,448,2247,226,993,4365,4755,4958,2648,3640,1737,5251,1394,950,4306,5501,2247,2058,4500,3340,3089,4434,4908,4682,5292,301,4039,1357,3351,3782,478,4864,77,2266,2639,1784,643,932,66,57,2258,2438,2924,5049,1648,3449,4083,339,2710,5261,4727,2185,4506,2136,5405,2489,2540,938,4890,3438,559,5346,2519,2709,556,2434,2209,2710,2227,49,5177,3068,2500,3388,1268,1176,1861,2489,4447,3513,4281,4939,3911,1128,3933,3439,1265,955,4888,4643,1716,3975,4343,1712,5450,244,3572,70,3343,1557,5511,5091,5339,1408,815,2881,3494,1160,4495,4809,1910,4640,4405,4069,2467,3288,2389,1135,4751,786,5320,1668,3193,3959,4354,2376,4600,2278,3785,2015,2003,325,3444,4312,1165,1168,2955,2299,1292,1466,2432,700,3509,3383,3491,1820,222,3666,1802,4619,2679,1326,262,707,5480,3636,4898,1550,569,4336,1405,3461,644,437,4663,1721,5095,3849,5142,1601,3467,4483,2006,2120,4319,4952,5253,5483,1168,3957,3773,3810,1126,1481,3411,4610,3533,3258,4178,1162,3815,1886,587,2083,4528,1779,3661,1133,2464,1250,5357,1639,4939,4230,5249,5374,3354,3799,718,2176,4600,681,2299,3317,5210,592,4794,4737,1662,4706,2297,5198,5463,3795,2610,2614,241,4,2883,3530,1101,5009,1108,1006,2824,838,884,3480,4167,134,5511,5424,2387,4914,5402,1003,1375,2854,4646,4406,1932,4335,3064,2996,1254,2666,3853,1392,3452,3686,597,4936,5463,1015,1445,4003,3417,4324,1803,780,443,4600,1432,4808,3184,3300,5212,1893,1561,5440,3573,965,106,1603,1853,3336,470,4564,3593,4083,3211,536,4109,4569,2597,2264,70,1907,2431,1609,2447,2258,4909,2080,3002,570,2095,1960,929,5205,2483,2936,518,3630,1612,3823,2304,1671,1001,1999,694,4993,1678,3267,4712,2958,517,834,5259,4292,5462,5130,1185,1511,2807,3149,2166,3912,5039,1179,5068,4467,1285,4157,1698,3644,1568,3269,132,4055,854,3346,4157,1837,2600,4500,2757,2925,5130,1153,2161,874,4911,3716,5468,1035,1700,2154,2617,4195,30,5346,1540,2794,3332,5128,3313,4744,5138,3832,4101,4309,587,2828,4385,4702,2964,4002,3722,622,2675,4611,930,2672,595,339,1576,3036,3650,1113,739,2472,3681,3734,4935,5235,368,3041,3071,2014,2705,1809,1778,1080,4253,2040,3891,273,4857,599,539,5521,2282,4730,5465,3223,3263,5199,2915,3426,1757,2543,4686,2971,1315,4986,1000,1817,1015,594,2029,1155,1350,2484,1519,3356,1536,3549,3837,2194,1143,3502,2493,1220,4608,1205,396,2668,5287,1770,898,3553,3940,3608,4341,3739,4452,2828,774,721,2123,5372,4810,1489,3872,3187,2950,340,3157,3317,849,4571,4213,4447,2591,1656,907,4222,2807,844,2867,5122,2632,2435,4017,1283,2571,4069,4401,4540,4433,1820,5524,2238,2016,1242,4574,3276,1435,2842,3637,3712,1223,24,2170,442,1638,5362,1038,1755,1705,2882,778,2906,5233,987,1992,3875,2049,313,2181,4554,2150,3773,472,2245,2226,2869,3275,4224,2991,2440,936,4794,2814,700,620,4851,1739,1222,4319,3515,5174,4191,423,5447,4968,3419,776,4,4936,1071,2644,1949,4660,3444,2263,3973,4061,1403,1358,319,4659,3755,4325,3309,109,651,1226,2922,111,3646,2284,3251,4543,3361,2492,3931,3107,3333,5349,4778,5286,673,326,470,1826,3302,1395,5510,2097,1299,4883,3531,3604,2515,5479,3936,4309,3987,120,3154,2914,2637,1474,252,640,5001,3660,396,4716,2444,5103,3129,2712,3143,531,5498,3138,1552,75,2723,409,5395,2305,1327,1304,4467,478,2665,3502,2608,110,4285,4093,5011,4245,201,3650,2858,3010,4324,4073,2166,4434,2508,4955,5390,3558,4751,254,3029,5502,814,176,3189,2498,1230,4024,1068,4056,1627,1400,3599,133,1440,2082,607,518,622,2860,3443,1768,4301,4214,24,2654,2960,1737,3806,3896,4395,2140,4058,2356,4382,697,5232,4193,1674,2600,4759,4985,5088,5349,1148,3714,92,383,5261,214,3523,1392,2272,4387,1645,4168,994,5375,4476,3647,976,3090,2479,1778,1859,1166,2240,2086,800,1561,2352,3962,5067,1677,181,5421,159,2103,4681,2063,4514,5381,5167,4167,1657,366,4276,887,148,3493,3148,4834,4921,1915,2874,4060,463,1942,3120,992,4304,3394,1421,451,2117,1756,4948,4447,1581,957,5463,405,1327,5424,1389,17,1641,2159,2026,4508,5463,4090,4400,257,1354,3158,1487,2319,4440,619,4806,4576,954,4270,4324,4880,967,1340,1422,2464,2107,1581,856,4463,5052,4933,3957,152,385,3312,1378,3693,2990,628,4575,2053,4608,1795,3595,5038,3450,2301,1386,3570,4329,3291,1928,3522,4762,2610,55,2744,499,3338,2804,628,3184,3452,2519,5375,4106,4484,980,4058,2847,3710,3854,4842,2337,440,4076,4225,911,4074,2291,587,5419,4530,4540,4602,710,3195,2803,5422,3733,586,2915,3946,1313,2784,4606,1922,2239,1516,2153,4449,3721,824,275,5024,1626,907,2695,2192,3460,4913,4621,4716,1529,4499,2832,1909,1585,1538,214,1281,4174,5455,651,2504,135,1501,5489,3432,1722,4686,3003,3441,1861,5153,2552,4809,187,2760,2960,526,5270,1063,5479,2456,115,1777,2328,4786,5209,2454,4935,21,1876,5353,1987,1139,3167,552,241,4989,3926,3271,4369,3034,1268,4258,3254,5344,2264,1876,5385,3554,2609,1758,415,1565,2647,4489,2631,2729,2042,1495,4109,1923,3579,4219,4749,595,2443,5207,3481,1405,4669,3171,3648,1182,5315,3579,4942,2546,2442,419,5405,2122,1544,4702,2910,2177,1869,2295,2385,4874,2625,1482,2744,5099,3040,2279,2687,5369,764,2252,1196,4958,16,4200,986,2238,1461,2633,1537,709,3483,338,3413,5119,139,1444,677,4385,2528,3859,1013,5466,1198,4444,1403,4627,1933,4407,3431,4760,1734,95,4628,4955,3736,3916,1535,4372,271,2845,1230,3774,3508,3321,4382,4351,3390,4804,2930,580,1252,2234,3217,3233,2984,178,271,2858,710,2049,3395,5140,2418,878,3297,3133,3963,4517,2811,4057,959,2446,1883,2106,1970,2407,1089,5206,1049,1822,3145,947,2643,3382,2167,920,2411,2298,1986,5069,3994,3223,720,4479,5358,3889,4360,412,2922,5269,2748,2105,4757,916,4646,4743,4252,1085,5294,4557,3465,1790,5107,5164,4563,1082,3562,589,3064,2187,335,3582,1655,3885,5510,414,4068,5374,1101,1579,2875,2208,5503,423,5272,4703,2743,673,2055,4887,4504,4164,1548,4738,1013,5185,1429,1441,1665,4515,3882,4788,4566,3115,3359,2338,2288,1146,5343,3706,1275,3821,3604,1435,1363,1329,2754,1337,1298,1863,2263,2868,32,4621,198,3297,267,4214,2065,4178,496,2886,3189,4136,2333,3995,444,5130,775,938,4575,3852,1527,3104,3296,1580,729,2569,2574,3653,2235,4338,2420,3639,4967,3307,2382,5092,779,5421,2887,5367,3963,1054,4926,2255,4058,2878,1318,1795,3613,4299,2478,1835,57,4863,3856,4504,1408,375,1215,3840,4876,4380,5445,1302,3731,857,1729,1078,5464,3639,193,3235,1081,4797,2053,4466,4006,5253,915,2493,165,3869,94,4342,5321,4228,1749,4274,4423,4912,1872,4536,1437,3712,612,4605,1132,96,1592,979,515,2950,4669,3200,323,3705,3008,2159,2502,654,2460,1122,4471,664,4629,1978,1880,5469,5253,4315,3401,4266,3164,2615,2911,4228,2662,284,5207,2179,4204,2318,2822,1540,5360,81,5483,4219,5040,5334,5102,3735,4399,4626,2864,1978,3912,4831,2128,1662,3573,1107,5442,1723,2373,303,4879,4379,5062,943,3155,583,4096,245,3046,4849,5112,5291,3273,3208,2015,4203,840,595,3381,90,1016,1977,3765,1166,5449,3387,425,1241,728,5443,931,3284,2985,5362,108,2459,834,217,3390,3674,921,3915,1138,430,3314,4265,3566,4627,536,3088,3047,3674,1636,2291,1088,4028,3887,3904,3763,4983,5004,794,3112,3299,633,4069,2865,4139,1519,1311,4234,5315,3733,2320,5492,44,4567,2116,410,1529,4664,4938,3684,1586,4312,1169,2394,4901,3168,3173,2980,4599,4719,1968,4686,1708,181,1632,2509,4895,5465,4816,3293,1646,192,3774,1737,2823,2688,2850,1671,2723,5383,715,1713,1745,1617,4557,4782,3868,115,3733,4019,3416,1757,2699,5166,4693,1334,4640,1041,2375,919,2901,181,1158,967,2761,3662,772,99,5487,5317,4419,6,3448,63,2328,1329,2229,1948,2488,4988,4051,1595,5065,1562,3673,5148,5478,161,4077,2588,3055,572,2852,3817,593,5002,1385,4265,1446,5492,3321,3429,3433,2872,1159,4928,424,3915,1639,5257,4485,786,172,4586,1257,4748,1497,4205,3439,4648,143,1228,4817,4816,5494,583,4335,4348,3194,2710,5510,1848,4855,2151,3423,4456,4435,1840,1948,1058,3210,4157,2472,5499,1319,4345,586,4013,1490,3605,2277,1666,903,1500,1037,3221,4190,1123,3622,1861,3548,4743,3058,2252,2731,1141,1603,2147,1034,86,215,2512,4380,2385,4915,4929,5251,3629,851,1849,1222,635,1425,2794,1407,2744,500,4991,455,851,167,3871,3786,1402,4028,3298,1973,3632,1835,3951,168,2295,1859,3958,1095,1484,4556,4175,3717,433,2323,4103,563,743,1433,2675,4598,2290,3735,1402,4609,4653,5088,907,102,1421,2181,1110,423,1899,1254,2755,1485,2774,3405,2168,3816,3337,1924,3231,194,4790,2454,579,202,3868,1315,3863,5309,2758,5078,477,3758,2665,4839,1697,1124,2316,3936,2829,4105,1007,4739,642,2988,1616,1210,979,5084,1531,3848,763,816,1668,1055,2728,3875,2622,4738,5133,1637,3695,2628,4641,293,271,5049,1158,2099,529,2220,2092,2542,1272,1838,741,4054,1520,4998,3768,2332,2368,3718,2923,4513,3347,724,391,2337,5388,1276,3738,2249,1312,4579,2047,1289,1803,5314,4283,4080,1251,2556,306,3504,3155,5384,976,3974,1163,3720,1831,4666,3982,3760,959,2786,3869,3619,5235,2942,4219,819,3178,3022,4231,1263,5338,1702,2552,1297,14,3936,4257,697,3311,3739,2705,4132,4680,5427,4651,58,2250,1676,1100,1053,4684,2700,5189,1628,1109,4185,2861,2334,4762,2116,1572,275,3407,1937,4125,2615,1569,3074,1666,2642,3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434,4787,3482,4873,4503,2975,684,2739,704,4676,307,5046,4219,4243,980,3367,4415,2669,893,4086,2541,4910,4353,2032,4280,3790,5042,4084,3146,1096,2678,3384,4518,5145,3087,4780,4307,1666,5475,5051,3441,2611,4736,2273,1729,3396,4994,3283,2659,535,4975,4289,5518,3983,2010,3118,1190,3199,4514,3063,581,1796,5349,1590,4022,3878,283,4538,23,3128,391,913,1124,2720,2120,1568,2816,330,5123,3383,3492,2533,3167,2625,4420,3124,4506,3888,1743,4077,3263,3511,1635,1959,3858,3187,4084,5008,4423,5247,753,434,422,2450,281,4162,5051,1959,637,4381,1352,4029,2170,4960,3638,2584,4143,498,3308,2919,4635,4807,3350,4006,60,4918,4014,4562,2407,2360,4917,1783,3904,1875,4284,3647,5473,5304,1428,180,233,613,5358,4762,1873,2406,1406,2647,3274,5145,1255,2942,3318,5127,4752,2608,1269,1485,3994,3981,2015,2050,2479,3966,1379,4230,1393,2185,4356,2235,1033,1866,3535,216,3889,2872,1849,2588,278,2219,3328,270,2,2138,3227,1981,2321,4587,1122,5022,4772,3590,1996,3706,5319,2380,3244,2455,2648,82,5108,2039,360,3266,3907,2001,2058,4526,2899,825,3819,3706,5145,1669,5215,5249,4219,4282,1474,1172,4275,63,3425,3627,3334,2310,3164,2029,616,62,4312,4750,4698,4850,1977,2755,2410,1819,564,1871,302,3881,753,923,4861,958,4145,1211,4324,5511,4868,656,3812,552,1763,556,1038,1477,2990,165,4330,2308,4228,4955,5187,1797,364,4661,2486,4131,4424,3984,2797,232,2490,2374,894,2738,4016,4939,1268,1387,478,1555,3123,654,431,3225,4230,1381,3203,2388,4803,2637,54,1260,854,3709,3575,3387,740,1097,320,381,2998,3490,1168,4798,5500,3178,2464,3691,3972,5060,3734,3154,578,3546,2352,3641,4295,2659,5019,3597,4105,4223,122,4562,2459,2282,338,4222,708,2668,4915,904,3094,2682,636,148,1681,205,900,457,2370,696,1629,5482,830,3250,4310,2581,5069,3224,2069,4370,4453,697,2207,1359,3921,4893,1861,3143,1871,193,3190,959,3568,5219,1683,473,1694,1448,244,1534,821,2563,4494,4978,1934,2256,1105,1199,1325,2428,4667,4570,3123,4419,4222,5138,2,2526,1525,548,1104,357,5241,5483,4909,1364,4798,1302,1767,3220,2377,3631,3845,4215,3067,5188,5424,3927,5401,5108,4233,3609,3023,1369,1484,3384,3631,418,3190,1761,3058,4171,1582,2337,1637,4640,1486,2471,2063,2634,3711,1660,678,717,1489,4475,4441,5073,5251,5028,1453,175,5031,1997,2721,1230,331,1398,3973,1161,2159,3237,390,263,4098,4395,3990,4435,4885,2948,795,830,1002,3833,818,3656,380,1063,3403,1120,4123,4056,3258,1578,254,3585,2862,3260,5477,1515,1986,1852,2835,1574,58,5519,5022,4239,3673,4333,5490,1267,2098,3247,3739,3586,5134,1851,2913,3610,937,3849,4710,3820,4834,2515,4555,2913,436,3804,2303,1691,2370,4568,3205,3489,3865,2882,4870,1708,1056,1048,5409,4793,803,4286,1324,2077,2448,3151,4292,4112,3726,503,189,2411,4036,3635,612,704,801,2389,4295,4782,5056,5231,967,1774,77,1116,2138,3122,1106,4285,3362,5106,4390,4027,2658,4102,3893,833,2619,4133,5492,1499,4403,3488,4782,1804,5367,1360,299,887,3226,503,2304,2856,1710,2118,486,2410,1314,718,1188,1594,4627,4088,848,1178,1659,143,394,3893,2434,1282,3798,1970,3158,2047,728,531,3430,1771,799,976,3255,4792,692,1608,4872,3209,1706,3448,4680,5386,3879,124,2059,3932,4776,2284,2043,1879,3156,2189,2435,1765,3544,663,2021,1295,4300,5385,3928,5504,3768,2483,5362,293,1894,1812,5277,3498,494,4198,4511,4695,2600,4,2070,1170,4325,2755,5048,4795,3705,956,2214,4550,3314,3039,2685,3941,4948,4627,1716,518,4457,3080,620,4443,3269,3452,3320,4885,2347,1566,417,4512,5361,4083,95,1935,5267,4456,4999,5298,5299,2886,2993,162,19,471,4704,1173,5384,1956,608,2324,3362,4196,939,229,3372,4277,2229,3281,1402,186,2800,3672,3650,847,1546,4827,1101,243,1012,37,1324,5355,2930,2130,4740,477,622,1460,3302,2511,5424,1481,3089,3521,4571,1768,3662,3724,5117,4568,1669,3832,3264,5207,3434,3089,5491,3712,2512,2309,2048,5373,3089,2740,4052,3133,2201,648,2211,499,176,2828,2877,2473,4425,2559,81,1974,2790,3654,810,3772,1484,1998,4419,561,1028,2053,1544,5411,4149,3120,2679,222,4093,468,3217,4222,326,619,955,961,2887,5288,719,2287,1552,3103,4283,2853,190,1603,2174,1410,3298,2949,1742,2419,3329,4264,4135,3733,5066,437,2273,4458,4941,3729,1693,4921,4488,1781,5144,1356,2429,2061,4455,2663,3662,3754,2701,5272,5120,2224,96,4707,3579,4846,2623,5134,3358,4633,1256,1290,489,5044,4985,3733,1336,4112,2365,3676,3940,1652,1965,1038,2559,2021,148,2569,5097,4874,874,3577,4685,1513,3894,4820,4065,1275,3857,4791,4061,497,2098,4797,2197,2881,1106,489,993,2447,3985,3659,5149,4634,958,4863,3187,2040,3089,1527,5375,3374,4055,1199,1808,2231,713,2729,3988,2269,173,2002,1459,2913,3331,3456,7,382,1856,3601,2637,1175,1255,4124,2440,2282,1996,1526,1197,1170,746,1070,3431,2604,835,1210,3182,1601,3404,2450,4421,5146,270,1070,3649,951,2157,1318,2526,3381,1634,394,4925,1481,5284,2908,4042,3454,1023,4716,1748,5313,1580,878,636,2040,5083,2529,1432,191,3235,1657,1711,1846,883,5028,3070,3580,5196,887,2677,511,1450,3620,2163,255,4076,971,4611,5319,4756,4145,2467,4192,3980,96,1564,3869,5385,1103,3821,927,5142,2973,1402,102,2936,2715,3543,4473,4421,2301,5366,231,5440,4550,5106,106,3617,729,5060,4871,3949,473,2691,5299,3464,1888,2456,1462,906,3571,2022,4072,4484,242,1769,1072,4513,3813,3089,252,1680,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	left, right := 0, len(input) - 1
	t := time.Now()
	mergeSort(input, left, right)
	fmt.Println(time.Since(t), input)
}

func mergeSort(input []int, left, right int) {
	if left < right {
		mid := (left + right) / 2
		mergeSort(input, left, mid)
		mergeSort(input, mid + 1, right)
		merge(input, left, mid, right)
	}
}

func merge(input []int, left, mid, right int)  {
	temp := []int{}
	i, j := left, mid + 1
	for i <= mid && j <= right {
		if input[i] <= input[j] {
			temp = append(temp, input[i])
			i ++
		} else {
			temp = append(temp, input[j])
			j ++
		}
	}
	for ; i <= mid; i ++ {
		temp = append(temp, input[i])
	}
	for ; j <= right; j ++ {
		temp = append(temp, input[j])
	}
	for k := 0; k < len(temp); k ++ {
		input[left + k] = temp[k]
	}
}
